document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=246742>Question 246742</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The average daily maximum temperatures in March are 3°C in Montreal with a standard deviation of 3°C, and an average of2°C in Calgary with a standard deviation of 8°e.\r<BR>\n" );
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document.write( "1.During a cold snap Montreal has a high of -4°C and Calgary a high of-lO°e. Assuming the daily maximum temperatures are normally distributed, which city has the 'colder snap'? Explain with words and calculations.\r<BR>\n" );
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document.write( "2.What is the probability that Montreal would have a maxi~umtemperature between -2°C and 7°C in March? \r<BR>\n" );
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document.write( "3. The maximum temperature in Calgary such that only 5% ofdays have a maximum temperature higher than this is:\r<BR>\n" );
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document.write( "4. The two maximum temperatures in March for Montreal that represent the middle 80% oftemperatures are: \r<BR>\n" );
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document.write( "a) (0.48, 5.52) b) (1.935, 7.935) c) (-8.256, 12.256) d) (-0.846,6.846) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180229 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=180229\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The average daily maximum temperatures in March are 3°C in Montreal with a standard deviation of 3°C, and an average of 2°C in Calgary with a standard deviation of 8°e. <BR>\n" );
document.write( "1.During a cold snap Montreal has a high of -4°C and Calgary a high of-lO°C. Assuming the daily maximum temperatures are normally distributed, which city has the 'colder snap'? Explain with words and calculations.<BR>\n" );
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document.write( "Montreal: z(-4) = (-4-3)/3 = -7/3 = -2 1/3 <BR>\n" );
document.write( "Calgary: z(-10) = (-10-2)/8 = -12/8 = -3/2 = -1.5<BR>\n" );
document.write( "The Montreal high was further below the average so Montreal had the<BR>\n" );
document.write( "colder snap.<BR>\n" );
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document.write( "2.What is the probability that Montreal would have a maximum temperature between -2°C and 7°C in March?<BR>\n" );
document.write( "\"average daily maximum temperatures in March are 3°C in Montreal with a standard deviation of 3°C\"<BR>\n" );
document.write( "z(-2) = (-2-3)/3 = -5/3 = -1 2/3<BR>\n" );
document.write( "z(7) = (7-3)/3 = 4/3 = 1 1/3<BR>\n" );
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document.write( "P(-2 < x < 7) = P(-5/3 < z < 4/3) = 0.8610<BR>\n" );
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document.write( "3. The maximum temperature in Calgary such that only 5% of days have a maximum temperature higher than this is:<BR>\n" );
document.write( "\"average daily maximum temperatures in March are 3°C in Montreal with a standard deviation of 3°C <BR>\n" );
document.write( "The z-value that has 5% above it is 1.645<BR>\n" );
document.write( "x = 1.645*3 + 3 = 7.935<BR>\n" );
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document.write( "4. The two maximum temperatures in March for Montreal that represent the middle 80% oftemperatures are:<BR>\n" );
document.write( "Find the z-value that has two tails of 10% each.<BR>\n" );
document.write( "z = 1.2816<BR>\n" );
document.write( "x = 1.2816*3+3 = 6.846<BR>\n" );
document.write( "x = -1.2816*3+3 = -0.846<BR>\n" );
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document.write( "a) (0.48, 5.52) b) (1.935, 7.935) c) (-8.256, 12.256) d) (-0.846,6.846)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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